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Finding the Fourth Proportional to 1,206,865.20, 1,805,632.20 and 786,961.20

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Solution

The fourth proportional to 1,206,865.20, 1,805,632.20 and 786,961.20 is: 1,177,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,865.20 : 1,805,632.20 = 786,961.20 : x
  2. Step 2: Convert to fraction form
    1,206,865.20/1,805,632.20 = 786,961.20/x
  3. Step 3: Cross multiply
    1,206,865.20x = 1,805,632.20 × 786,961.20
  4. Step 4: Simplify right side
    1,206,865.20x = 1,420,962,482,870.64
  5. Step 5: Solve for x
    x = 1,420,962,482,870.64/1,206,865.20
  6. Step 6: Final answer
    x = 1,177,399.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.